Let \[{{S}_{k}}={{\alpha }^{k}}+{{\beta }^{k}}+{{\gamma }^{k}},\] then \[\Delta =\left| \begin{matrix} {{S}_{0}} & {{S}_{1}} & {{S}_{2}} \\ {{S}_{1}} & {{S}_{2}} & {{S}_{3}} \\ {{S}_{2}} & {{S}_{3}} & {{S}_{4}} \\ \end{matrix} \right|\] is equal to

Let \[{{S}_{k}}={{\alpha }^{k}}+{{\beta }^{k}}+{{\gamma }^{k}},\] then

1.	Let \[{{S}_{k}}={{\alpha }^{k}}+{{\beta }^{k}}+{{\gamma }^{k}},\] then \[\Delta =\left\| \begin{matrix} {{S}_{0}} & {{S}_{1}} & {{S}_{2}} \\ {{S}_{1}} & {{S}_{2}} & {{S}_{3}} \\ {{S}_{2}} & {{S}_{3}} & {{S}_{4}} \\ \end{matrix} \right\|\] is equal to
A.	\[{{S}_{6}}\]
B.	\[{{S}_{5}}-{{S}_{3}}\]
C.	\[{{S}_{6}}-{{S}_{4}}\]
D.	None
Answer» E.

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Let \[{{S}_{k}}={{\alpha }^{k}}+{{\beta }^{k}}+{{\gamma }^{k}},\] then \[\Delta =\left| \begin{matrix} {{S}_{0}} & {{S}_{1}} & {{S}_{2}} \\ {{S}_{1}} & {{S}_{2}} & {{S}_{3}} \\ {{S}_{2}} & {{S}_{3}} & {{S}_{4}} \\ \end{matrix} \right|\] is equal to

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